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aqua_rat__zEofIENvE9urwTgW
The average weight of 8 person's increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? Answers. A) 75 Kg B) 50 Kg C) 85 Kg D) 80 Kg E) 98.6 KG
98.6 KGxplanation: Total increase in weight = 8 × 4.2 = 33.6 If x is the weight of the new person, total increase in weight = x−65 =&gt; 33.6 = x - 65 =&gt; x = 33.6 + 65= <gadget id="calculator">33.6 + 65</gadget> <output>98.6</output> 98.6 Answer: Option 98.6 KG <result>E</result>
E
calc
aqua_rat__8XvAl7mVovqqhNAG
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle? Choose the correct answer: A) 65 B) 80 C) 85 D) 90 E) 95
In a parallelogram opposite angles are equal and the angles at each side are supplementary to each other (supplementary angles are two angles that add up to 180°). Given: x+(x+50)=180 --&gt; x=65. 65nswer: 65. <result>A</result>
A
calc
ape210k__01098951
The price of a pair of roller skates can buy 3 pairs of sneakers. The price of a pair of roller skates is 216 yuan. How much is the price of a pair of sneakers?
<gadget id="calculator">216 / 3</gadget> <output>72</output> <result>72</result>
72
calc
ape210k__00450980
When a number is divided by 5, what is the largest remainder?
<gadget id="calculator">5 - 1</gadget> <output>4</output> <result>4</result>
4
calc
aqua_rat__LgmdcMaxLZHhmFXL
A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr. Options. A) 2km/hr B) 1km/hr C) 5km/hr D) 2m/hr E) 4km/hr
rate downstream=(15/3 ¾)km/hr=(15*4/15)km/hr=4km/hr. Rate upstream=(5/2 ½)km/hr=(5*2/5)km/hr=2km/hr. Speed of current=1/2(4-2)km/hr=1km/hr Answer is 1km/hr. <result>B</result>
B
calc
ape210k__01052405
The price of a water dispenser is 105 yuan, and the price of a microwave oven is three times that of a water dispenser. How much does Uncle Wang charge for a microwave oven?
<gadget id="calculator">105 * 3</gadget> <output>315</output> <result>315</result>
315
calc
ape210k__00136206
The fruit shop shipped 36 baskets of fruit. Among them, the apples shipped are the total number (5/12), and the bananas are shipped (3/4). How many baskets of bananas are shipped by the fruit shop?
<gadget id="calculator">5 / 12</gadget> <output>5/12 = around 0.416667</output> <gadget id="calculator">3 / 4</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">(5/12) / (3/4)</gadget> <output>5/9 = around 0.555556</output> <gadget id="calculator">36 * (5/9)</gadget> <output>20</output> <result>20<...
20
calc
gsm8k__wBBuHXbY7liHpTae
The total age of the people in Kaydence's family is 200. If Kaydence's father is 60 years old, Kaydence's mother 2 years younger than Kaydence's father, Kaydence's brother 1/2 the age of Kaydence's father, and Kaydence's sister 40 years old, how old is Kaydence?
If Kaydence's father is 60 years old, her mother is 60-2 = <gadget id="calculator">60-2</gadget> <output>58</output> 58 years old. The total age of the mother and father is 60+58 = <gadget id="calculator">60+58</gadget> <output>118</output> 118 years. Kaydence's brother is half the father's age, which is 1/2*60 = <ga...
12
calc
aqua_rat__yCcNjVlDQ11qaA4H
A runs twice as fast as B and gives B a start of 83m.How long should the racecourse be so that A and B might reach in the same time? Choose the correct option A) 75 m. B) 80 m. C) 150 m. D) 100 m. E) None of the above
ratio of speeds of a and b is 2:1 b is 83m away from a but we know that a covers 1 meter(2-1) more in every second than b the time taken for a to cover 83m is 83/1= <gadget id="calculator"> 83/1</gadget> <output>83</output> 83m so the total time taken by a and b to reach=2*83= <gadget id="calculator">2*83</g...
E
calc
aqua_rat__fyytshIosjDWd538
The average of first five prime numbers greater than 20 is? Choose the correct choice from the following choices: A) 32.6 B) 32.9 C) 32.3 D) 32.2 E) 32.7
23 + 29 + 31 + 37 + 41= <gadget id="calculator">23 + 29 + 31 + 37 + 41</gadget> <output>161</output> 161/5= <gadget id="calculator">161/5</gadget> <output>161/5 = around 32.2</output> 32.2 Answer: 32.2 <result>D</result>
D
calc
aqua_rat__kCUwQAX3zJUyF3b6
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 25 seconds. The speed of the train is: Choose the correct choice from the following choices: A) 45 km/hr B) 50 km/hr C) 95 km/hr D) 55 km/hr E) 56 km/hr
Speed of the train relative to man = (125/25) m/sec =25 m/sec. [(25 * (18/5)] km/hr = 90 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 90 ==&gt; x = 95 km/hr. ANSWER:95 km/hr <result>C</result>
C
calc
aqua_rat__c6rWRzsFGRh2wLTI
If the President and Vice President must sit next to each other in a row with 7 other members of the Board, how many different seating arrangements are possible? Choices: A) 120 B) 240 C) 300 D) 360 E) 80640
We need to take President and VP as one unit. Therefore we have 8 people to arrange=8! ways Also, we both President and VP can be arranged in 2 ! ways. Reqd no of ways=8!*2!=80640 ways Answer 80640 <result>E</result>
E
calc
ape210k__00006166
Xiaojie is 11 years old this year, and his mother is 3 times older than him. What is the age of his mother?
<gadget id="calculator">11 * 3</gadget> <output>33</output> <gadget id="calculator">33 + 3</gadget> <output>36</output> <result>36</result>
36
calc
ape210k__00918715
Xiaohong has 10 candies, she ate (3/5) of them, how many candies are left?
<gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">1 - (3/5)</gadget> <output>2/5 = around 0.4</output> <gadget id="calculator">10 * (2/5)</gadget> <output>4</output> <result>4</result>
4
calc
ape210k__01032409
There are some potted plants on both sides of the road in the park, and there are 352 pots on each side. How many pots are there in total?
<gadget id="calculator">352 * 2</gadget> <output>704</output> <result>704</result>
704
calc
ape210k__00232506
There are 126 faculty members in our school, among which the number of female teachers is 6 times more than that of male teachers. How many male teachers are there?
<gadget id="calculator">126 - 6</gadget> <output>120</output> <gadget id="calculator">1 + 3</gadget> <output>4</output> <gadget id="calculator">120 / 4</gadget> <output>30</output> <result>30</result>
30
calc
ape210k__00420749
If 3x+1.5=7.5, then 1.5x=how much.
<gadget id="calculator">7.5 - 1.5</gadget> <output>6</output> <gadget id="calculator">6 / 3</gadget> <output>2</output> <gadget id="calculator">1.5 * 2</gadget> <output>3</output> <result>3</result>
3
calc
ape210k__00423467
Among the 2002 numbers of 1, 2, 3, ..., 1999, 2000, 2001, 2002, how many numbers can be selected at most, so that the sum of any 3 numbers among the selected numbers is a multiple of 3.
<gadget id="calculator">2_001 / 3</gadget> <output>667</output> <gadget id="calculator">667 + 1</gadget> <output>668</output> <result>668</result>
668
calc
ape210k__00432358
When spring comes, the farmer uncle waters the fruit trees. On the first day, I watered all the fruit trees (1/4) in the morning and watered all the fruit trees (3/8) in the afternoon, how many are left unwatered?
<gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">3 / 8</gadget> <output>3/8 = around 0.375</output> <gadget id="calculator">(1/4) + (3/8)</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">1 - (5/8)</gadget> <output>3/8 = around 0.375</output> <resu...
3/8
calc
aqua_rat__MlyyCFrAn263VM9H
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work? Pick one A) 40 B) 50 C) 54 D) 60 E) 64
(A + B)'s 20 day's work = (1/30 x 20 ) = 2/3 . Remaining work = (1 - 2/3 ) = 1/3 . Now, 1/3 work is done by A in 20 days. Therefore, the whole work will be done by A in (20 x 3) = 60 days. Answer : 60 <result>D</result>
D
calc
ape210k__00639633
The minute hand of a clock is 7 cm long. What is the distance traveled by the tip of the minute hand in one day and night?
<gadget id="calculator">2 * 3.14 * 7 * 24</gadget> <output>1_055.04</output> <result>1_055.04</result>
1_055.04
calc
ape210k__00530308
A circle with a radius of 8 cm has a square inside and a square outside the circle. The four vertices of the square inside the circle are on the circumference, and the four sides of the square outside the circle have only one point of contact with the circle. Then the area of the square outside the circle is larger tha...
<gadget id="calculator">8 * 2</gadget> <output>16</output> <gadget id="calculator">16 * 16</gadget> <output>256</output> <gadget id="calculator">16 / 2</gadget> <output>8</output> <gadget id="calculator">16 * 8</gadget> <output>128</output> <gadget id="calculator">256 - 128</gadget> <output>128</output> <result>12...
128
calc
ape210k__00542477
Clever calculation: 46*28+24*63.
<gadget id="calculator">46 * 28</gadget> <output>1_288</output> <gadget id="calculator">24 * 63</gadget> <output>1_512</output> <gadget id="calculator">1_288 + 1_512</gadget> <output>2_800</output> <result>2_800</result>
2_800
calc
aqua_rat__vEK7xwbY304qfwhI
If A : B= 3 : 5 and B : C = 7 : 9, then A : B : C is: Pick one: A) 2:4:8 B) 21:35:45 C) 5:10:15 D) 12:24:36 E) 36:42:8
A:21:35:45=3:5, 21:35:45:C=7:9, A:21:35:45:C=3×7:7×5:5×9 ⇒ 21:35:45 Answer: 21:35:45. <result>B</result>
B
calc
aqua_rat__mITIxjxGhDYnnUF6
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Choose the correct choice from the following answers A) 22 1/7 kmph B) 22 2/2 kmph C) 22 1/4 kmph D) 22 1/2 kmph E) 42 1/2 kmph
100 --- 10 22 1/2 kmphS = 10 ? ---- 1 75 ---- 15 US = 5 ? ----- 1 S = (10 - 5)/2 = 2 2 1/2 kmph Answer:22 1/2 kmph <result>D</result>
D
calc
ape210k__00361339
A batch of goods was distributed to teams A and B according to the ratio of 5:3. Team A completed its task (4/5), and the rest was transported to team B. Team B transported a total of 48 tons. How many tons is this shipment in total?
<gadget id="calculator">5 / 8</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">3 / 8</gadget> <output>3/8 = around 0.375</output> <gadget id="calculator">4 / 5</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">(5/8) * (4/5)</gadget> <output>1/2 = around 0.5</output> <gadget id="...
96
calc
aqua_rat__hhRC6u2p617xe8To
What will be in unit's place digit of 3 to the power 34. Choices: A) 1 B) 6 C) 3 D) 0 E) 9
as the unit place digit of 3 to the power of 1 is 3, to the power of 2 is 9.to the power of 3 is 7 ,to the power of 4 is 1 and it'll be repeated again in the same order.... so the unit place digit of 3 to the power of 34 is 9.. ANSW9R:9 <result>E</result>
E
calc
ape210k__00597918
Xiaoyu collected 120 foreign stamps, 25% less than the number of Chinese stamps. How many Chinese stamps has Xiaoyu collected?
<gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 - (1/4)</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">120 / (3/4)</gadget> <output>160</output> <result>160</result>
160
calc
aqua_rat__9yHofXokllFL4GfY
What number comes next? 428, 693, 714, 286, 937, ? Choose one. A) 142 B) 231 C) 245 D) 148 E) 123
142 142 The numbers 42869371 are being repeated in the same sequence. <result>A</result>
A
calc
aqua_rat__bLo5syAYsA8xWOu0
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Choose the most appropriate option: A) 28% B) 40% C) 64.8% D) 70% ...
original price = 100 day 1 discount = 10%,price = 100-10= <gadget id="calculator">100-10</gadget> <output>90</output> 90 day 2 discount= 10%,price = 90-9= <gadget id="calculator">90-9</gadget> <output>81</output> 81 day 3 discount= 10%,price = 81-8.1= <gadget id="calculator">81-8.1</gadget> <output>72.9</outpu...
E
calc
aqua_rat__hoTN70pDkRSrgMgy
A butler stole wine from a butt of sherry which contained 40% of spirit and he replaced,what he had stolen by wine containing only 16% spirit. The butt was then of 24% strength only. How much of the butt did he steal? Choose one: A) 1/3 B) 2/3 C) 1/4 D) 1/8 E) 1/9
Wine containing 40%spirit Wine containing 16% spirit Wine containing 24% spirit 8 16 They must be mixed in the ratio of =1:2. Thus 1/3 of the butt of sherry was left hence the butler drew out 2/3 of the butt. ANSWER 2/3 <result>B</result>
B
calc
ape210k__01135005
In order to disinfect vehicles and the environment, a large amount of disinfectant is needed. In order to meet the market demand, the workers of Jinke Pharmaceutical Factory rushed to make disinfectant. The first shift of workers completed the plan (3/10), the second shift of workers completed the rest (1/2), and the t...
<gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">3 / 10</gadget> <output>3/10 = around 0.3</output> <gadget id="calculator">1 - (3/10)</gadget> <output>7/10 = around 0.7</output> <gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calc...
4_500
calc
aqua_rat__wE1CaFOoS5Hcp6zs
The cash realised on selling a 14% stock is Rs.120.50, brokerage being 1/4% is Choices A) 120.25 B) 120.35 C) 106.5 D) 156 E) 240
Explanation: Cash realised= Rs. (120.50 - 0.25) = Rs. 120.25. 120.25nswer: 120.25 <result>A</result>
A
calc
aqua_rat__Vpg2ViHhHhZW3u5J
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M. I. 5 II. 2 III. -7 Pick: A) I only B) II only C) I and II only D) II and III only E) I, II and II...
Notice that we are askedwhich of the following numbers MUST also be present in the set MnotCOULD be in the set. Now, if -4 is in the set, then -4+3=-1mustbe in the set. Since -1 is in the set then -1+3= <gadget id="calculator"> -1+3</gadget> <output>2</output> 2mustbe in the set.so do 5. Could -7 be in the set? C...
C
calc
aqua_rat__1SFYnJ1ze2wPZ1K4
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Choose the correct choice from the following choices: A) 245 B) 726 C) 566 D) 268 E) 261
Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 =&gt; 2(130 + x) = 750 =&gt; x = 245 m. 245nswer: 245 <result>A</result>
A
calc
aqua_rat__q016WZYp9gMdyLl3
Two pipes A and B can fill a tank in 8 hours and 16 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank? Choose the correct choice from the following: A) 5 hours 20 min B) 5 hours 49 min C) 3 hours 50 min D) 3 hours 22 min E) 3 hours 42 min
Explanation: Part filled by 5 hours 20 min in 1 hour = 1/8 Part filled by B in 1 hour = 1/16 Part filled by (5 hours 20 min + B) in 1 hour = ( 1/8 + 1/16) = (3/16) Time taken to fill the tank is (16/3) = 16/3*60= <gadget id="calculator">16/3*60</gadget> <output>320</output> 320 mins= 5 hrs 20 mins 5 hours 20...
A
calc
ape210k__00133608
The supermarket launched a holiday promotion. My mother bought 3.2 kilograms of hairtail, and the supermarket gave me 3 bags of 500 grams of shrimp. I paid 100 yuan to the salesperson's aunt, and got back 23 yuan and 2 cents. How much is the retail price of hairtail in this supermarket?
<gadget id="calculator">2 / 10</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">23 + (1/5)</gadget> <output>116/5 = around 23.2</output> <gadget id="calculator">100 - (116/5)</gadget> <output>384/5 = around 76.8</output> <gadget id="calculator">(384/5) / 3.2</gadget> <output>24</output> <result>24...
24
calc
aqua_rat__7vCv8Bvcq8amnT4r
Rachel and Sarah spent $8 for gasoline, $15.65 for their lunch, and $5 apiece for gifts for Grandma. Grandma gave each of them $10. If the girls left home with a total of $50, how much do they have for the return trip? Choose the correct choice from the following answers: A) $36.35 B) $26.35 C) $16.35 D) $46.35 E) $56...
$50 + $20 = $70 what they left with plus $10 to each $8 + $15.65 + $10 50 + 20= <gadget id="calculator">50 + 20</gadget> <output>70</output> $70 what they left with plus $10 to each $8 + $15.65 + $10 = $33.65 what they spent (gifts are $5 + $5) $70 - $33.65 8 + 15.65 + 10= <gadget id="calculator">8 + ...
A
calc
ape210k__00607080
Xiaoming's family pays an average of 35 yuan for water and electricity per month. How much should they pay for water and electricity a year?
<gadget id="calculator">35 * 12</gadget> <output>420</output> <result>420</result>
420
calc
ape210k__00479136
The number of A is 6, which is 1.2 times of the number of B. What is the sum of the two numbers of A and B?
<gadget id="calculator">6 / 1.2</gadget> <output>5</output> <gadget id="calculator">6 + 5</gadget> <output>11</output> <result>11</result>
11
calc
ape210k__00554601
What is the volume of a conical sand pile with a base circumference of 18.84 meters and a height of 3 meters?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">18.84 / 3.14 / 2</gadget> <output>3</output> <gadget id="calculator">3 ** 2</gadget> <output>9</output> <gadget id="calculator">(1/3) * 3.14 * 9 * 3</gadget> <output>28.26</output> <result>28.26</result>
28.26
calc
ape210k__00297246
For a commodity, if the purchase price is reduced by 10% and the selling price remains the same, then the gross profit rate (gross profit rate=((selling price-purchase price)/(purchase price))*100%) can increase by 12%. What is the gross profit margin on merchandise sold.
<gadget id="calculator">27 / 25</gadget> <output>27/25 = around 1.08</output> <gadget id="calculator">(27/25) - 1</gadget> <output>2/25 = around 0.08</output> <gadget id="calculator">(2/25) / 1</gadget> <output>2/25 = around 0.08</output> <gadget id="calculator">100 / 100</gadget> <output>1</output> <gadget id="cal...
2/25
calc
ape210k__00597031
The perimeter of a triangle is 82.8 centimeters, the length of side a is 35.2 centimeters, and the length of side b is 28.8 centimeters. Find the length of side c in centimeters? What kind of triangle is this?
<gadget id="calculator">82.8 - 35.2 - 28.8</gadget> <output>18.8</output> <result>18.8</result>
18.8
calc
ape210k__00986499
The ratio of A and B is 5:6, A's number is 40, what is B's number?
<gadget id="calculator">40 / 5</gadget> <output>8</output> <gadget id="calculator">6 * 8</gadget> <output>48</output> <result>48</result>
48
calc
ape210k__01201931
On a map with a scale of (1/3000000), the distance between A and B is 8.2 cm. What is the actual distance in kilometers?
<gadget id="calculator">1 / 3_000_000</gadget> <output>1/3_000_000 = around 0</output> <gadget id="calculator">8.2 / (1/3_000_000) / 100_000</gadget> <output>246</output> <result>246</result>
246
calc
ape210k__00474173
The little sloppy mistakenly regarded the second addend 309 in an addition problem as 390, and the result was 850. What is the correct sum?
<gadget id="calculator">850 - 390</gadget> <output>460</output> <gadget id="calculator">460 + 309</gadget> <output>769</output> <result>769</result>
769
calc
aqua_rat__1gGAkQFJfQdGMXE9
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are the E odds that x^2+y^2>1? Choose the correct option. A) 1. pi/4 B) 2. E=pi/16 C) 3. E=1-pi/4 D) 4. 1-pi/16 E) 5.4-pi
area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi. then succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1) total outcomes = 4 therefore probability = (4-pi)/4 3. E=1-pi/4 <result>C</result>
C
calc
ape210k__00020645
There are many chickens and ducks in the backyard of Aunt Wang’s house. It is estimated that the total number is between 50 and 60. If the ratio of the number of chickens to the number of ducks is 4:5, how many ducks are there?
<gadget id="calculator">4 + 5</gadget> <output>9</output> <gadget id="calculator">5 / 9</gadget> <output>5/9 = around 0.555556</output> <gadget id="calculator">54 * (5/9)</gadget> <output>30</output> <result>30</result>
30
calc
gsm8k__Ebj15lBr6CRWpGfC
Mr. Alonzo harvested 245.5 kg of tomatoes. He sold 125.5 kg to Mrs. Maxwell and 78 kg to Mr. Wilson. How many kilograms of tomatoes are not sold?
Mr. Alonzo was able to sell 125.5 + 78 = <gadget id="calculator">125.5+78</gadget> <output>203.5</output> 203.5 kg of tomatoes. So, there are 245.5 - 203.5 = <gadget id="calculator">245.5-203.5</gadget> <output>42</output> 42 kg unsold tomatoes. <result>42</result>
42
calc
ape210k__00170599
The taxi fare standard is: within 3 kilometers (including 3 kilometers), it is charged at 7 yuan, and for the part exceeding 3 kilometers, it is charged at 1.5 yuan for every 1 kilometer, and an additional 1 yuan is required for each ride. Fuel surcharges for money. Xiao Ming took a taxi to the park on Sunday. When he ...
<gadget id="calculator">11 - 3</gadget> <output>8</output> <gadget id="calculator">8 * 1.5</gadget> <output>12</output> <gadget id="calculator">7 + 12 + 1</gadget> <output>20</output> <result>20</result>
20
calc
math_qa__a3pQH69wkToXFZrC
In a group of ducks and cows, the total number of legs are 22 more than twice the no. of heads. Find the total no.of buffaloes. Choose the correct choice from the following A) 11 B) 12 C) 13 D) 15 E) 16
<gadget id="calculator">22 / 2</gadget> <output>11</output> <result>A</result>
A
calc
ape210k__00435744
Pour 7.2 liters of water into a cup, the length of the cup is 3dm, the width is 2dm, and the height is 2dm. Then put a stone into the water, when the water depth is 1.5dm. What is the volume of the stone in dm**3.
<gadget id="calculator">3 * 2 * 1.5</gadget> <output>9</output> <gadget id="calculator">9 - 7.2</gadget> <output>1.8</output> <result>1.8</result>
1.8
calc
ape210k__00352667
203/7*9, 4040/8-26*5, 2450+934)/8.
<gadget id="calculator">3_384 / 8</gadget> <output>423</output> <result>423</result>
423
calc
ape210k__00426321
It takes 1.2 minutes for Xiao Ming to walk from the first floor to the fourth floor. How much time does it take to walk from the first floor to the eighth floor at the same speed?
<gadget id="calculator">4 - 1</gadget> <output>3</output> <gadget id="calculator">1.2 / 3</gadget> <output>0.4</output> <gadget id="calculator">8 - 1</gadget> <output>7</output> <gadget id="calculator">0.4 * 7</gadget> <output>2.8</output> <result>2.8</result>
2.8
calc
aqua_rat__XYKfeGc1c1eUaapU
Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? Choose the correct choice from the following. A) 29% B) 31% C) 33% D) 35% E) 37%
Let x be Mork's income, then Mindy's income is 4x. The total tax paid is 0.45x + 1.0x = 1.45x 1.45x / 5x 0.45 + 1.0= <gadget id="calculator"> 0.45 + 1.0</gadget> <output>1.45</output> 1.45x 1.45x / 5x = 0.29 The answer is 29%. 1.45 / 5= <gadget id="calculator"> 1.45 / 5</gadget> <output>0.29</output> 0.2...
A
calc
ape210k__00519709
A rectangular iron sheet with a length of 32 centimeters is cut off at its four top corners to form a square with a side length of 4 centimeters, and then folded and welded to form a rectangular parallelepiped iron box without a cover. It is known that the volume of this tin box is 768 cubic centimeters. How many centi...
<gadget id="calculator">4 * 2</gadget> <output>8</output> <gadget id="calculator">32 - 8</gadget> <output>24</output> <gadget id="calculator">24 * 4</gadget> <output>96</output> <gadget id="calculator">768 / 96</gadget> <output>8</output> <gadget id="calculator">8 + 4 + 4</gadget> <output>16</output> <result>16</r...
16
calc
ape210k__00396387
Xiaohua's family got on the train and found that a train has 12 hard seats, with an average of 108 seats in each car; in addition, there are 160 passengers in sleeping berths. If the train is full, how many passengers are there in total?
<gadget id="calculator">108 * 12</gadget> <output>1_296</output> <gadget id="calculator">1_296 + 160</gadget> <output>1_456</output> <result>1_456</result>
1_456
calc
aqua_rat__PUg5oKjlIitpck5G
The difference between the squares of two consecutive odd integers is always divisible by: Select. A) 3 B) 6 C) 7 D) 8 E) 9
Let the two consecutive odd integers be (2x + 1) and (2x + 3) Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2) = 8 (x + 1), which is always divisible by 8 ANSWER:8 <result>D</result>
D
calc
ape210k__00293528
There is a cylindrical beverage bottle. The volume is 750 ml. Now there is some juice in the bottle, the height of the juice in the bottle is 20 cm when it is upright, and the height of the empty part in the bottle is 5 cm when it is upside down. How many milliliters of juice is in the bottle?
<gadget id="calculator">20 / 5</gadget> <output>4</output> <gadget id="calculator">4 + 1</gadget> <output>5</output> <gadget id="calculator">4 / 5</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">750 * (4/5)</gadget> <output>600</output> <result>600</result>
600
calc
aqua_rat__ukBqR3G1IIbsPAS3
A solution of 80 litres contains oil and water in the ratio 10:x. If five litres of water is added to the solution, the ratio becomes 20:10, find the value of x? Choose the correct choice from the following: A) 4.1 B) 4.9 C) 4.7 D) 5.7 E) 8.5
Exp. Total new quantity = original sol + water =80+5= <gadget id="calculator">80+5</gadget> <output>85</output> 85 New ratio= 20:10, New quantity of oil =20/30*85 = 56.6 Lit, New quantity of water = 10/30*85 =28.3 Lit Water present initially = (28.3-5)= <gadget id="calculator">(28.3-5)</gadget> <output>23.3</ou...
A
calc
ape210k__00313592
A reservoir can hold 60 tons of water, and the empty tank can be filled with water in 5 hours by opening the A pipe alone, and 8 tons of water can be injected per hour by opening the B pipe alone. If the two pipes are opened together, how many hours can the pool be filled with water?
<gadget id="calculator">60 / 5</gadget> <output>12</output> <gadget id="calculator">12 + 8</gadget> <output>20</output> <gadget id="calculator">60 / 20</gadget> <output>3</output> <result>3</result>
3
calc
ape210k__00052648
When ice turns into water, its volume decreases (1/11). The volume of an existing piece of ice after melting into water is 4 cubic centimeters, what is the original volume of this piece of ice in cubic centimeters?
<gadget id="calculator">1 / 11</gadget> <output>1/11 = around 0.090909</output> <gadget id="calculator">1 - (1/11)</gadget> <output>10/11 = around 0.909091</output> <gadget id="calculator">4 / (10/11)</gadget> <output>22/5 = around 4.4</output> <result>22/5 = around 4.4</result>
22/5
calc
aqua_rat__BWoC5w9XMUY9LQNV
The average of 7 results is 45. The average of first three results is 47 and average of last three results is 42. What is the fourth result? Choose the correct choice from the following A) 48 B) 47 C) 44 D) 46 E) 49
Explanation: Total of results = 45 * 7= <gadget id="calculator">45 * 7</gadget> <output>315</output> 315 Total of first three results= 3* 47= <gadget id="calculator">3* 47</gadget> <output>141</output> 141 Total of last three results= 3* 42= <gadget id="calculator">3* 42</gadget> <output>126</output> 126 Fou...
A
calc
ape210k__00334982
Xiaogang started from school to the Children's Palace, and walked 60 meters per minute, which took him 10 minutes. How many meters is the distance from the school to the Children's Palace?
<gadget id="calculator">60 * 10</gadget> <output>600</output> <result>600</result>
600
calc
aqua_rat__lUJhMmBXd4rUOr22
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Pick: A) 10 am B) 12 am C) 10.30 am D) 12.30 am E) 11 am
10 amssume both trains meet after x hours after 7 am Distance covered by train starting from P in x hours = 20x km Distance covered by train starting from Q in (x-1) hours = 25(x-1) Total distance = 110 =&gt; 20x + 25(x-1) = 110 =&gt; 45x = 135 =&gt; x= 3 Means, they meet after 3 hours after 7 am, ie, the...
A
calc
ape210k__00086334
Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 in a row without repetition to form a nine-digit number, so that: the sum of all numbers between 1 and 2 is 6; the sum of all numbers between 2 and 3 The sum of all numbers between 3 and 4 is 14; the sum of all numbers between 3 and 4 is 38; the sum of all numbers betwe...
<result>371_628_594</result>
371_628_594
calc
ape210k__00307439
Xiaohong reads a book, 25 pages a day, and finishes it in 4 days. The number of pages in the other book is three times that of this book. How many pages does the other book have?
<gadget id="calculator">25 * 4 * 3</gadget> <output>300</output> <result>300</result>
300
calc
math_qa__R6Ku0twQARYp3v8k
A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.620 in all. For how many days was he absent? Choose the correct choice from the following choices A) 8 B) 10 C) 15 D) 7 E) 4
<gadget id="calculator">7.5 * 30</gadget> <output>225</output> <gadget id="calculator">225 + 620</gadget> <output>845</output> <gadget id="calculator">7.5 + 25</gadget> <output>32.5</output> <gadget id="calculator">845 / 32.5</gadget> <output>26</output> <gadget id="calculator">30 - 26</gadget> <output>4</output> ...
E
calc
ape210k__01183289
The teacher is going to distribute exercise books to 20 students. If there are still some exercise books for each of the two, and three copies for each person is not enough, the leftovers are as much as the insufficient ones. How many exercise books were there?
<gadget id="calculator">20 * 2</gadget> <output>40</output> <gadget id="calculator">20 * 3</gadget> <output>60</output> <gadget id="calculator">60 - 40</gadget> <output>20</output> <gadget id="calculator">20 / 2</gadget> <output>10</output> <gadget id="calculator">40 + 10</gadget> <output>50</output> <result>50</r...
50
calc
aqua_rat__pfoqXWbR19H7Oyym
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Choose one A) 1:96 B) 1:98 C) 1:26 D) 1:97 E) 1:56
Let the length and the breadth of the rectangle be 4x cm and 3x respectively. (4x)(3x) = 6912 12x2 = 6912 x2 = 576 = 4 * 144 = 22 * 122 (x &gt; 0) =&gt; x = 2 * 12= <gadget id="calculator">2 * 12</gadget> <output>24</output> 24 Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1: 96. 1:96nswer:1:96 ...
A
calc
ape210k__00040628
What is the single digit of 1*1+2*2+3*3+…+2005*2005+2006*2006
<gadget id="calculator">1 * 1</gadget> <output>1</output> <result>1</result>
1
calc
ape210k__00768867
A car and a motorcycle start from two places 165 kilometers apart at the same time and drive opposite each other. The car travels 50 kilometers per hour, and the speed of the motorcycle is 1.2 times that of the car. How long does it take for the two cars to meet?
<gadget id="calculator">50 * 1.2</gadget> <output>60</output> <gadget id="calculator">60 + 50</gadget> <output>110</output> <gadget id="calculator">165 / 110</gadget> <output>3/2 = around 1.5</output> <result>3/2 = around 1.5</result>
3/2
calc
ape210k__00759405
The minute hand of the large clock on the roof of the Xi’an Telegraph Building is 2 meters long. From 8 am to 12 noon, how many meters has the tip of the minute hand traveled?
<gadget id="calculator">12 - 8</gadget> <output>4</output> <gadget id="calculator">3.14 * 2 * 2 * 4</gadget> <output>50.24</output> <result>50.24</result>
50.24
calc
ape210k__00441776
Xiaohua uses 48 decimeters of iron wire to make a cuboid frame. The ratio of length, width and height is 3:2:1. How many square decimeters of paper are needed to paste a layer of paper on the outside of the cuboid frame?
<gadget id="calculator">48 / 4</gadget> <output>12</output> <gadget id="calculator">3 + 2 + 1</gadget> <output>6</output> <gadget id="calculator">3 / 6</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">12 * (1/2)</gadget> <output>6</output> <gadget id="calculator">2 / 6</gadget> <output>1/3 = aroun...
88
calc
ape210k__00093391
Divide 12 into the sum of two natural numbers, and then find the product of these two natural numbers. To make the product the largest, how many parts should it be divided into?
<gadget id="calculator">6 + 6</gadget> <output>12</output> <result>12</result>
12
calc
aqua_rat__fsjyvCuUAGOIQ9ya
How many odd, positive divisors does 640 have? Choose the correct option. A) 6 B) 8 C) 12 D) 15 E) 24
Make a prime factorization of a number: 540=2^2*3^3*5 --&gt; get rid of powers of 2 as they give even factors --&gt; you'll have 3^3*5 which has (3+1)(1+1)=12 factors. Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15...
C
calc
ape210k__00220152
If a box of Go pieces is used to form a solid square matrix, there are 7 more pieces; if 8 pieces are added, one piece can be added on each side to form a large solid square matrix. How many chess pieces are there in this box?
<gadget id="calculator">7 + 8 + 1</gadget> <output>16</output> <gadget id="calculator">16 / 2</gadget> <output>8</output> <gadget id="calculator">8 * 8</gadget> <output>64</output> <gadget id="calculator">64 - 8</gadget> <output>56</output> <result>56</result>
56
calc
ape210k__00581295
Mr. Liu’s charging standard for mobile Internet access is as follows: 5 yuan includes 30MB of traffic, and if more than 30MB, an additional 0.29 yuan will be charged for every 1MB. Mr. Liu used 98MB of traffic last month. How much is the internet fee?
<gadget id="calculator">98 - 30</gadget> <output>68</output> <gadget id="calculator">68 * 0.29</gadget> <output>19.72</output> <gadget id="calculator">5 + 19.72</gadget> <output>24.72</output> <result>24.72</result>
24.72
calc
aqua_rat__Xtr6LUeoRWk4zxpU
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? Pick one A) 63 B) 67 C) 70 D) 74 E) 80
We need to select 5 men from 7 men and 2 women from 3 women. Number of ways to do this = 7C5 × 3C2 = 7C2 × 3C1 [∵ nCr = nC(n-r)] = 7 × 6 2 × 1 × 3 = 21 × 3 = 63 63) <result>A</result>
A
calc
math_qa__VtdTwwHYLTBtigFy
The S.I. on a certain sum of money for 6 years at 14% per annum is half the C.I. on Rs. 7000 for 2 years at 7% per annum. The sum placed on S.I. is? Select the correct option: A) 603.75 B) 555.75 C) 569.55 D) 256.25 E) 563.23
<gadget id="calculator">7 / 100</gadget> <output>7/100 = around 0.07</output> <gadget id="calculator">1 + (7/100)</gadget> <output>107/100 = around 1.07</output> <gadget id="calculator">(107/100) ** 2</gadget> <output>11_449/10_000 = around 1.1449</output> <gadget id="calculator">7_000 * (11_449/10_000)</gadget> <ou...
A
calc
aqua_rat__Nbsp4qkm14ZNlpW9
A boy has to cover a total distance of 300 kms. in 6 hours. He travels at the rate of 60 kmph. for first 90 minutes and next 100 kms. at the rate of 50 kmph. At what average speed must he travel now in order to complete the journey in 6 hours? Choose the most appropriate option: A) 25 kmph. B) 32 kmph C) 44 kmph D) 58 ...
Explanation: The boy travels 60 kmph for 90 min, this means he travels 90 km. Next 100 km at the rate of 50 kmph, this means he travels 100 km. Total distance traveled till now = 100 + 90= <gadget id="calculator">100 + 90</gadget> <output>190</output> 190 km Time spent= 1.5 + 2= <gadget id="calculator">1.5 + ...
C
calc
ape210k__00434544
The price of a certain vegetable increased by 5% in the first week of May last year compared with the previous week, and increased by 5% in the second week compared with the first week. How much has the price increased over the past two weeks?
<gadget id="calculator">5 / 100</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">1 + (1/20)</gadget> <output>21/20 = around 1.05</output> <gadget id="calculator">1 * (21/20) * (21/20)</gadget> <output>441/400 = around 1.1025</output> <gadget id="calculator">(441/400) - 1</gadget> <output>41/400 =...
41/400
calc
ape210k__00774713
A piece of rectangular paper with a length of 12 cm and a width of 10 cm is cut into the largest circle. What is the area of this circular piece of paper in square centimeters?
<gadget id="calculator">10 / 2</gadget> <output>5</output> <gadget id="calculator">5 ** 2</gadget> <output>25</output> <gadget id="calculator">3.14 * 25</gadget> <output>78.5</output> <result>78.5</result>
78.5
calc
ape210k__00122375
If the upper and lower bases of a trapezoid remain the same, and the height increases by 4 cm, the area increases by 64 cm2; if the lower base and height remain the same, and the upper base increases by 8 cm, the area increases by 40 cm2. What is the area of the original trapezoid in square meters? centimeter.
<gadget id="calculator">64 / 4</gadget> <output>16</output> <gadget id="calculator">2 * 16</gadget> <output>32</output> <gadget id="calculator">40 / 32</gadget> <output>5/4 = around 1.25</output> <gadget id="calculator">2 * (5/4)</gadget> <output>5/2 = around 2.5</output> <gadget id="calculator">(5/2) / 2</gadget> ...
40
calc
ape210k__00318689
The average weight of A, B, and C is 49 kg. It is known that A weighs 48 kg and B weighs 47 kg. What is the weight of C in kg?
<gadget id="calculator">49 * 3</gadget> <output>147</output> <gadget id="calculator">147 - 48 - 47</gadget> <output>52</output> <result>52</result>
52
calc
aqua_rat__wVMo6hTPz1CRnSk3
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Select: A) 22 B) 28 C) 29 D) 20 E) 21
Average of 20 numbers = 0 Sum of 20 numbers = (0 * 20)= <gadget id="calculator">(0 * 20)</gadget> <output>0</output> 0 It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). Answer: 20 <result>D</result>
D
calc
ape210k__01037785
If the sum of the volumes of a cone and a cylinder with the same base and height is 120 cubic centimeters, what is the difference between their volumes in cubic centimeters?
<gadget id="calculator">1 + 3</gadget> <output>4</output> <gadget id="calculator">120 / 4</gadget> <output>30</output> <gadget id="calculator">30 * 3</gadget> <output>90</output> <gadget id="calculator">90 - 30</gadget> <output>60</output> <result>60</result>
60
calc
ape210k__00178183
There are two piles of coal, A and B, and A pile of coal is 100 tons. If 10 tons of coal are transported from pile A to pile B, then pile A will be 5 tons less than pile B. Now after both piles have transported the same number of tons, the remaining pile of coal in pile B is 70% of pile A. At this time, how many tons o...
<gadget id="calculator">100 - 10</gadget> <output>90</output> <gadget id="calculator">70 / 100</gadget> <output>7/10 = around 0.7</output> <gadget id="calculator">100 * (7/10)</gadget> <output>70</output> <gadget id="calculator">5 - 10 - 70</gadget> <output>-75</output> <gadget id="calculator">90 + (-75)</gadget> <...
50
calc
ape210k__00067770
A trapezoidal orchard has an upper base of 170 meters, a lower base of 150 meters, and a height of 60 meters. If each tree covers an area of 10 square meters, how many fruit trees are there in this orchard?
<gadget id="calculator">170 + 150</gadget> <output>320</output> <gadget id="calculator">60 / 2</gadget> <output>30</output> <gadget id="calculator">320 * 30</gadget> <output>9_600</output> <gadget id="calculator">9_600 / 10</gadget> <output>960</output> <result>960</result>
960
calc
aqua_rat__zUDJOzL0uGSb7gLZ
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is Pick one: A) Rs.1550 B) Rs.1650 C) Rs.1750 D) Rs.2000 E) None
Solution C.I. =Rs[4000x(1+10/100)²-4000] Rs.(4000x11/10x11/10-4000) = Rs.940. Sum =Rs. [420x100 /3x8] = Rs.1750. Answer Rs.1750 <result>C</result>
C
calc
mawps__EyQsjJOVStssnAu3
Sabrina had 175 papaya. Virgil took 153 from him. Now How many papaya Sabrina have less than?
<gadget id="calculator">175 - 153</gadget> <output>22</output> <result>22</result>
22
calc
ape210k__00051849
In Hexi Village, there is a parallelogram-shaped experimental field with a base length of 600 meters and a height of 250 meters. On average, 1.2 tons of rice can be harvested per hectare. How many tons of rice can be harvested in this field?
<gadget id="calculator">250 / 10_000</gadget> <output>1/40 = around 0.025</output> <gadget id="calculator">1.2 * 600 * (1/40)</gadget> <output>18</output> <result>18</result>
18
calc
math_qa__Gs1aEXFjDRDlVXEV
what is the nearest no. to 2304 which is divisible by 21? Choose the correct choice from the following answers: A) 2289 B) 2310 C) 2333 D) 2456 E) 2309
<gadget id="calculator">2_304 % 21</gadget> <output>15</output> <gadget id="calculator">2_304 + 15</gadget> <output>2_319</output> <result>B</result>
B
calc
ape210k__00488139
The price of a pair of trousers is 15 yuan, and the price of a jacket is three times that of a pair of trousers. How much does it cost to buy such a suit?
<gadget id="calculator">15 * 3</gadget> <output>45</output> <gadget id="calculator">45 + 15</gadget> <output>60</output> <result>60</result>
60
calc
aqua_rat__5sRKAk8jJW2m8C1w
Eight family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table...
Let's consider Michael and Bobby as one unit. There are 7! possible arrangements of 7 units. Around a table, there would be repetitions of each arrangement, so we divide by 7. Then there are 6! arrangements around a circular table. For each arrangement, Michael and Bobby can switch places, so we multiply by 2. ...
C
calc
aqua_rat__Fka2t3M5FT5j0l5T
One-third of 1206 is what percent of 134 ? Options A) 3 B) 30 C) 300 D) None of these E) cannot be determined
Answer Let one-third of 1206 is N% of 134. ∵ 1206/3 = (N x 134)/100 ∴ N = (402 x 100) / 134 = 300 300orrect Option: 300 <result>C</result>
C
calc
aqua_rat__xDaUePMTjy1Hxpz9
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did ...
Let x be the number of guests. Number of muffins prepared = 5x + 2 Number of muffins eaten + Number of muffins remaining = Number of muffins prepared 6(x - 1) + 2 = 5x + 2 6x - 4 = 5x + 2 x = 6 Answer: 6. <result>D</result>
D
calc
ape210k__00520910
The art teacher bought some pencils and planned to distribute them equally to the students in the art group. He took 54 pencils to divide, and the result was 3; he took 70 pencils to divide, and the result was 2. Do you know how many students there are in this art group?
<result>17</result>
17
calc
ape210k__00549900
A cone and a cylinder have the same base and volume. The height of the cone is 12 cm. What is the height of the cylinder in cm?
<gadget id="calculator">12 / 3</gadget> <output>4</output> <result>4</result>
4
calc
aqua_rat__uNJuB8uZz5d43tvh
Roses can be purchased individually for $7.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680? Choose the correct option: A) 156 B) 162 C) 316 D) 324 E) 325
Buy as many $50 deals as possible. We can by 650/50= <gadget id="calculator"> 650/50</gadget> <output>13</output> 13 two dozen roses, thus total of 13*24= <gadget id="calculator">13*24</gadget> <output>312</output> 312 roses. We are left with 680 - 650= <gadget id="calculator"> 680 - 650</gadget> <output>30<...
C
calc